Mathematics 403A        Winter 2005


Homework

In this table, portfolio problems are supposed to be highlighted.

Homework, due Wednesdays at 2:30 pm Reading, due Tuesdays at 8:00 pm
January 5:
    no homework
January 4:
    Read 10.1 and 10.2.
January 12:
    Section 10.1: 4, 6, 8, 11, 13
    Section 10.2: 6, 7. For problem 6(a), you don't need to provide all of the details.
January 11:
    Read 10.3 and 10.4.
January 19:
    Section 10.3: 3, 8, 10, 19 (assume that p is prime),
    22, 24, 30 (in 30(c), IJ denotes the product ideal defined in the previous part; that is, the last sentence of part (b) should read "This ideal is called the product ideal, and is denoted IJ.")
January 18:
    Read 10.5.
Practice problems; do not turn in:
    Section 10.3: 2, 6, 7, 9, 26, 27 (assume that F is a field)

January 26:
    Section 10.4: 3, 5, 7 (sums of ideals are defined in problem 10.3.29; you may use the results of that problem without proof)
    Section 10.5: 6, 14, 16
January 25:
    Read 10.6 and 10.7.
Practice problems; do not turn in:
    Section 10.4: 2, 6
    Section 10.5: 1, 5, 8, 9, 10

Practice problems; do not turn in:
    Section 10.6: 2, 4, 9
    Section 10.7: 2bcd, 3, 4, 7, 10, 11

February 9:
    Section 11.1: 5, 9a, 13
February 8:
    Read 11.1 - 11.3
February 16:
    Section 11.2: 2, 7, 12, 17
    Section 11.3: 4 (typo: should say "contains a nonzero integer"
    and this problem: PDF file, LaTeX file, on-line
February 15:
    Read 11.4 - 11.5
Practice problems; do not turn in:
    Section 11.2: 1, 11
    Section 11.3: 1

February 23:
    Section 11.4: 5, 13, 14 (typo: "xd" should be "xn"), 16
February 22:
    Read 11.6.
Practice problems; do not turn in:
    Section 11.4: 1, 2, 3
    Section 11.5: 2, 3, 7

March 2:
    11.Misc: 1, 3
March 1:
    Read 11.7 and 11.8.
March 9:
    no homework
March 8:
    Skim 11.9 - 11.12.
Practice problems; do not turn in:
    Section 11.6: 1, 2, 4, 9
    Section 11.7: 2, 7, 9
    Section 11.8: 1, 2, 3, 5, 7
    Section 11.Misc: 4, 6, 7

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       John Palmieri    Padelford C-538    (206) 543-1785    email    web page